Department of Mathematics

Mathematical Physics and Operator Algebras

  •  Christopher Shirley, Paris-Saclay University
  •  Stationary random Schrödinger operators at small disorder
  •  03/15/2021
  •  2:00 PM - 3:00 PM
  •  Online (virtual meeting) (Virtual Meeting Link)
  •  Jeffrey Hudson Schenker (schenke6@msu.edu)

In this presentation, we will study Schrödinger operators with stationary potential and the existence of stationary Bloch waves for several types of stationarity and in particular in the random case. We will see that the Bloch waves of the unperturbed operator seem to vanish at weak disorder in the case of short-range correlations. This phenomenon suggests a resonance problem, difficult to study due to the lack of compactness. We therefore investigate this problem using Mourre theory.

 

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Department of Mathematics
Michigan State University
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East Lansing, MI 48824

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